Are my data and information synced between BUSY web and mobile app?

Yes, your data and information will be synced between BUSY Software and mobile app
Take the subscription for BUSY mobile app and then
To sync the data, follow the below mentioned Steps:
Step 1: Go to Administration and then Features and Options
Step 2: Click on General and then Enable BUSY data Exchange Platform (Y) and click on Configurations and Create BDEP Id
Step 3: Enable BUSY mobile app (Y) and select the option Through Cloud sync and then click on Save or Press F2
Step 4: Then create a new user for Cloud Sync Users for mobile app to create user Go to Administration then users and then click on cloud sync users.
Step 5: Click on add and create the user then give rights to access in mobile app as per requirement of user
Step 6: Create a new series and tag in that user for Sales, Receipt voucher, Sales Quotation and Sales Order and then click on Save or Press on F2 to save user configuration.
Step 7: To upload Data on cloud, Go to Administration and then click on Data export import 
Step 8: Click on Cloud Sync and then Bulk upload and click on Start Upload.
Step 9: Download BUSY Mobile app in your Mobile
Step 10: Enter BDEP Id User Name and Password of Cloud Sync user Now you can check your data in your BUSY mobile app.